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Finding the Third Proportional to 172,357 and 248,241

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Solution

The third proportional to 172,357 and 248,241 is: 357,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,357 : 248,241 = 248,241 : x
  2. Step 2: Convert to fraction form
    172,357/248,241 = 248,241/x
  3. Step 3: Cross multiply
    172,357x = 248,241 × 248,241
  4. Step 4: Simplify right side
    172,357x = 61,623,594,081
  5. Step 5: Solve for x
    x = 61,623,594,081/172,357
  6. Step 6: Final answer
    x = 357,534.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.